Total savings
misumi started with $217 in her bank account. she deposits
$25.50 each week and never withdraws any money. what
expression can misumi use to determine her account balance
after w weeks?

Based on the information given, the balance after w weeks will be 217 + 25.5w.

From the information given, Misumi started with $217 in her bank account and she deposits $25.50 each week and never withdraws any money.

Therefore, the expression that Misumi can use to determine her account balance after w weeks will be:

= 217 + (25.50 × w)

= 217 + 25.50w

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y=$25.50w+$217

w=10 weeks

$25.5(10)+$217

$255+$217

$472=y

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!